Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 858/732, 281/144, 332/150 quickly i.e. 6670378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 858/732, 281/144, 332/150 is 6670378.
LCM(858/732, 281/144, 332/150) = 6670378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 858/732,281/144,332/150
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 858,281,332
Least Common Multiple of Numerators i.e. LCM of 858,281,332 is 40022268.
GCF of Denominators means GCF of 732,144,150 as per the given fractions.
GCF of 732,144,150 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 858,281,332
2 | 858, 281, 332 |
429, 281, 166 |
∴ So the LCM of the given numbers is 2 x 429 x 281 x 166 = 40022268
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 858,281,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,281,332) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(858,281,332) x common factors =1 x 2 = 2
LCM(858,281,332) = ( 858 × 281 × 332 ) / 2
LCM(858,281,332) = 80044536 / 2
LCM(858,281,332) = 40022268
Lets's calculate GCF of 732,144,150
2 | 732, 144, 150 |
3 | 366, 72, 75 |
122, 24, 25 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40022268/6
Therefore the LCM of Fractions 858/732,281/144,332/150 is 6670378
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 732,144,150 . The biggest common factor number is the GCF number.
So the greatest common factor 732,144,150 is 6.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 858/732, 281/144, 332/150?
Answer: LCM of Numerators as per given numbers 858/732, 281/144, 332/150 is
LCM of Numerators i.e. for 858,281,332 is 40022268
GCF of denominators i.e. for 732,144,150 is 6.
Thus, LCM of Fractions is 6670378.Finally, LCM of Fractions for 858/732, 281/144, 332/150 is 6670378.